Very intriguing, but I think I want to see some replication. Some blind tests with amputees where the EM field is turned on and off at random should be fairly easy to set up. In the past tests with "allergic to EM" people have always been consistent with the null hypothesis, but I don't believe any of them were amputees.
Interesting stuff. Not read it properly yet, but I'm a bit sceptical. That said, the abstract makes it sound very thorough.
The obvious solution to me is to put the patient in a Faraday cage...maybe a wearable foil suit? I'd embed aluminum foil in a Spandex unisuit. Or maybe a fine wire mesh instead of solid foil (depends on the wavelength of common EM sources).